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Finding the Third Proportional to 98,541 and 150,273

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Solution

The third proportional to 98,541 and 150,273 is: 229,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,541 : 150,273 = 150,273 : x
  2. Step 2: Convert to fraction form
    98,541/150,273 = 150,273/x
  3. Step 3: Cross multiply
    98,541x = 150,273 × 150,273
  4. Step 4: Simplify right side
    98,541x = 22,581,974,529
  5. Step 5: Solve for x
    x = 22,581,974,529/98,541
  6. Step 6: Final answer
    x = 229,163.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.